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Finding the Third Proportional to 269,928,758,684 and 580,480,867,416

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Solution

The third proportional to 269,928,758,684 and 580,480,867,416 is: 1,248,322,109,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,928,758,684 : 580,480,867,416 = 580,480,867,416 : x
  2. Step 2: Convert to fraction form
    269,928,758,684/580,480,867,416 = 580,480,867,416/x
  3. Step 3: Cross multiply
    269,928,758,684x = 580,480,867,416 × 580,480,867,416
  4. Step 4: Simplify right side
    269,928,758,684x = 336,958,037,436,031,741,984,768
  5. Step 5: Solve for x
    x = 336,958,037,436,031,741,984,768/269,928,758,684
  6. Step 6: Final answer
    x = 1,248,322,109,429.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.